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arXiv · 1012.4631

Skewed superstatistical distributions from a Langevin and Fokker-Planck approach

Erik Van der Straeten·Christian Beck
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Abstract

The superstatistics concept is a useful statistical method to describe inhomogeneous complex systems for which a system parameter $β$ fluctuates on a large spatio-temporal scale. In this paper we analyze a measured time series of wind speed fluctuations and extract the superstatistical distribution function $f(β)$ directly from the data. We construct suitable Langevin and Fokker-Planck models with a position dependent $β$-field and show that they reduce to standard type of superstatistics in the overdamped limit.

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Erik Van der Straeten, Christian Beck. 2010-12-21. Skewed superstatistical distributions from a Langevin and Fokker-Planck approach. https://arxiv.org/abs/1012.4631

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